st: One-sided test on difference between correlation coefficients

Dear all,
My coauthor and I are looking at the correlation between the
unemployment rate and the number of academic and non-academic job
offers in the American Economic Association's "Job Offers for
Economists" publication. We are computing correlations of the kind:
pwcorr acadnewjobs_res nonacadnewjobs_res unem, sig obs
| acadn~es nonaca.. unem
-------------+---------------------------
acadnewjo~es | 1.0000
|
| 274
|
nonacadne~es | 0.4460 1.0000
| 0.0000
| 273 273
|
unem | -0.1222 -0.2580 1.0000
| 0.0432 0.0000
| 274 273 409
Where unem is the unemployment rate and acadnewjobs_res and
nonacadnewjobs_res the seasonally adjusted number of academic and
non-academic new jobs, respectively, in a given month. We would like
to test whether the former are less cyclical than the latter, i.e.
whether the pwcorr(acadnewjobs_res,unem) <
pwcorr(nonacadnewjobs_res,unem). Does any of you have an idea how to
nicely do this in Stata?
Thanks,
Michael
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